. , . 129-131.
1.
1
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I. | |||||
1. y = xn, n Î N | ]-¥; + ¥[ | n ]-¥; +¥[; n [0; +¥[ | n ; n | n ]-¥; +¥[ ( ); n ]-¥; 0], [0; +¥[ | - |
2. y = x-n, n Î N | ]-¥; 0[È È]0; +¥[ | n ]-¥; 0[È È]0; +¥[; n ]0; +¥[ | n ]-¥; 0[, ]0; +¥[; n ]-¥; 0[, ]0; +¥[ |
3. , n Î N, n > 1 | n ]-¥; +¥[; n [0; +¥[ | n ]-¥; +¥[; n [0; +¥[ | n ; n | n; n [0; +¥[ | |
II. () | |||||
4. y = ax, a > 0, a ¹ 1 | ]-¥; + ¥[ | ]0; + ¥[ | a > 1 , a < 1 ]-¥; +¥[ ( ) | - | |
III. | |||||
5. y = logax, a > 0, a ¹ 1 | ]0; + ¥[ | ]-¥; + ¥[ | a > 1 , a < 1 ]0; +¥[ ( ) | - |
IV. | |||||
6. y = cos x | ]-¥; + ¥[ | [-1; + 1] | [-p + 2pn; 2pn], [2pn; p + 2pn], n Î Z | 2p | |
7. y = sin x | [-p/2 + 2pn; p/2 + 2pn], [p/2 + 2pn; 3p/2 + 2pn], n Î Z | ||||
8. y = tg x | ]-p/2 + pn; p/2 + pn[, n Î Z | ]-¥; + ¥[ | p | ||
9. y = ctg x | ]pn; p + pn[, n Î Z | ||||
V. | |||||
10. y = = arcsin x | [-1; 1] | [-p/2; p/2] | - | ||
11. y = =arccos x | [0; p] |
12. y = = arctg x | ]-¥; + ¥[ | ]-p/2; p/2[ | |||
13. y = = arcctg x | ]0; p[ |
, (, , ) .
, y = 2 + lg sin , . = ||.
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[1] , , ( ). . , , (, Ö2).
[2] , , -, , , .. (a; b). (a; b), . , , , , .
[3] "" , 2p;
= sin 2pn, n Î Z.